From: Matt Oliveri <atmacen@gmail.com>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: [HoTT] Re: Equality in the Model Type Framework
Date: Tue, 3 Jul 2018 09:17:25 -0700 (PDT) [thread overview]
Message-ID: <4bec4b2f-117c-403d-a5a3-f14b9d3b8198@googlegroups.com> (raw)
In-Reply-To: <67d3932e-aa85-41dd-9845-db62e2472772@googlegroups.com>
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On Monday, July 2, 2018 at 11:38:47 PM UTC-4, Matt Oliveri wrote:
>
> If dependently-typed theories could use judgmental equality in axioms, and
> if one universe (without type constructors) was added to the framework, it
> seems like each mode theory would yield a system analogous to Martin-Löf's
> logical framework (MLLF), so a full constructive type theory could be
> specified at the theory level. This sounds nice.
>
Come to think of it, this last part probably isn't right. Internal
implication-like connectives generally wouldn't work with modes and
substructure the way rules should.
Still wondering about equality.
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next prev parent reply other threads:[~2018-07-03 16:17 UTC|newest]
Thread overview: 7+ messages / expand[flat|nested] mbox.gz Atom feed top
2018-07-03 3:38 [HoTT] " Matt Oliveri
2018-07-03 16:17 ` Matt Oliveri [this message]
2018-07-04 4:49 ` Michael Shulman
2018-07-04 18:11 ` Matt Oliveri
2018-07-05 4:00 ` Michael Shulman
2018-07-05 5:59 ` Matt Oliveri
2018-07-05 14:31 ` Michael Shulman
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